On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest

G. P. Galdi; J. G. Heywood; Y. Shibata

doi:10.1007/s002050050043

On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest

G. P. Galdi, J. G. Heywood, Y. Shibata

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

A new approach to the existence theory for the Navier-Stokes equations, using a technique of KATO [15], further developed in combination with estimates for Oseen's equation by KOBAYASHI & SHIBATA [17] and SHIBATA [24], has made possible the solution of a long-standing open problem often referred to as Finn's "starting problem". This paper provides the solution.

Original language	English
Pages (from-to)	307-318
Number of pages	12
Journal	Archive for Rational Mechanics and Analysis
Volume	138
Issue number	4
DOIs	https://doi.org/10.1007/s002050050043
Publication status	Published - 1997 Aug 18
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest

Abstract

ASJC Scopus subject areas

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